Answer:
Lacy is 13 and Jack is 52
Step-by-step explanation:
In 3 years their ages will add up to 71 so you have to subtract 6 as there are two of them to get 65. Lacy's age is represented by x and since Jack is 4 times older his age is represented by 4x. So added together their age is 5x. So 5x=65. Then 65/5=13. So 13=x. So Lacy is 13 and Jack is 52 as 13x4 is 52.
Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b
So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $
the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).
x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".
9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6
(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
Answer:
About 11.4
Step-by-step explanation:
There are 3.78541178 liters in a gallon.
Round that up to the nearest 100 and you get 3.8
Multiply 3.8 by 3.
You get 11.4
Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°
Answer:
Future value A = P(1+r)^(t)
A = 27000(1+0.065)^1
A = 27000(1.065)
A = 28755 units
Corrected question;
The price of a new Ford F-150 has increased by 6.5% this year. If the price was 27,000 last year, which expression can be used to calculate the price of the new Ford this year
Step-by-step explanation:
Applying the future value formula;
A = P(1+r)^(t) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
t = time in years
Given;
P = 27,000
r = 6.5% = 0.065
t = 1 year
Substituting the given values;
So A = 27000(1+0.065)^1
A = 27000(1.065)
A = 28755 units